All Chapters
Covered
SOLUTION MANUAL
, @SOLUTIONSSTUDY
CONTENTS
1 THE POWER SYSTEM: AN OVERVIEW 1
2 BASIC PRINCIPLES 5
3 GENERATOR AND TRANSFORMER MODELS;
THE PER-UNIT SYSTEM 25
4 TRANSMISSION LINE PARAMETERS 52
5 LINE MODEL AND PERFORMANCE 68
6 POWER FLOW ANALYSIS 107
7 OPTIMAL DISPATCH OF GENERATION 147
8 SYNCHRONOUS MACHINE TRANSIENT ANALYSIS 170
9 BALANCED FAULT 181
10 SYMMETRICAL COMPONENTS AND UNBALANCED FAULT208
11 STABILITY 244
12 POWER SYSTEM CONTROL 263
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CHAPTER 1 PROBLEMS
1.1 The demand estimation is the starting point for planning the
future electric power supply. The consistency of demand growth
over the years has led to numer- ous attempts to fit mathematical
curves to this trend. One of the simplest curves is
P = P0ea(t—t0)
where a is the average per unit growth rate, P is the demand in
year t, and P0 is the given demand at year t0.
Assume the peak power demand in the United States in 1984
is 480 GW with an average growth rate of 3.4 percent. Using
MATLAB, plot the predicated peak demand in GW from 1984 to
1999. Estimate the peak power demand for the year 1999.
We use the following commands to plot the demand growth
t0 = 84; P0 = 480;
a =.034;
t =(84:1:99)’;
P =P0*exp(a*(t-t0));
disp(’Predicted Peak Demand
- GW’) disp([t, P])
plot(t, P), grid
xlabel(’Year’), ylabel(’Peak power
demand GW’) P99 =P0*exp(a*(99 - t0))
The result is
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2 CONTENTS
Predicted Peak Demand - GW
84.000 480.000
0 0
85.000 496.600
0 6
86.000 513.775
0 3
87.000 531.544
0 1
88.000 549.927
0 3
89.000 568.946
0 3
90.000 588.623
0 1
91.000 608.980
0 4
92.000 630.041
0 8
93.000 651.831
0 5
94.000 674.374
0 0
95.000 697.697
0 8
96.000 721.827
0 4
97.000 746.791
0 6
98.000 772.619
0 0
99.000 799.339
0 8
P99 =
799.3398
The plot of the predicated demand is shown n Figure 1.
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